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9. simplify the expression to a + bi form: (-12 - 8i) + (4 - 9i)

Question

  1. simplify the expression to a + bi form: (-12 - 8i) + (4 - 9i)

Explanation:

Step1: Combine real parts

Combine the real numbers: \(-12 + 4\)
\(-12 + 4 = -8\)

Step2: Combine imaginary parts

Combine the imaginary terms: \(-8i - 9i\)
\(-8i - 9i = -17i\)

Step3: Form a + bi

Combine the results from Step1 and Step2: \(-8 - 17i\)

Answer:

\(-8 - 17i\)